What is the Least Common Multiple of 24465 and 24475?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 24465 and 24475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24465 and 24475, than apply into the LCM equation.

GCF(24465,24475) = 5
LCM(24465,24475) = ( 24465 × 24475) / 5
LCM(24465,24475) = 598780875 / 5
LCM(24465,24475) = 119756175

Least Common Multiple (LCM) of 24465 and 24475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24465 and 24475. First we will calculate the prime factors of 24465 and 24475.

Prime Factorization of 24465

Prime Factorization of 24475

Now multiplying the highest exponent prime factors to calculate the LCM of 24465 and 24475.

LCM(24465,24475) = 3¹ × 5² × 7¹ × 233¹ × 11¹ × 89¹
LCM(24465,24475) = 119756175